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lana66690 [7]
3 years ago
12

Lori has 18 new stamps to add to her collection. She displays the stamps on pages of an album in groups of either 3, 6, or 9 sta

mps. How many different ways can she display the 18 new stamps?
Mathematics
2 answers:
Serga [27]3 years ago
8 0

Answer: 4896 ways

Step-by-step explanation:

This is a permutatiom problem, since order does matter.

18P3 = 18!/(18-3)!

=18 × 17 ×16 ×15! / 15!

=18×17×16

=4896

NeTakaya3 years ago
6 0
To do groups of 9, she could make 2 rows of 9. To do 3, she could do 6 rows of 3. Last, to do 6 she could do 3 rows of 6. :)
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The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.54 minutes and a st
Minchanka [31]

Answer:

0.0323 = 3.23%. Is unusual

Step-by-step explanation:

Using the normal distribution we can find z value with the mean and standard deviation as follows. x is the value we want to know its probability

z = (x - mean)/standard deviation

z = (5-8.54)/1.91

z = -1.85

Using z tables for normal distribution, for z = 1.85, we have an area under the curve of 0.9677. Since we want to know the probability for 5 minutes or less, we have to substract from

p = 1- 0.9677

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An event with a probability less than 5% is considered unusual.

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Answer:

12

Step-by-step explanation:

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2 years ago
A tour company charges a given price per ticket based on the number, n, of people who take the tour. the maximum number of peopl
UkoKoshka [18]

Harper goes on a tour where the ticket price is $10.50 along with 29 people according to the given expression. Solving the given expression for 'n' results in the required number.

<h3>How to solve an algebraic expression?</h3>

Solving an expression algebraically involves basic operations like addition, subtraction, multiplication, and division.

  • In the expression, add/subtract the constant terms on both sides
  • Multiply/divide the coefficient of the variable on both sides
  • Solve for the variable.

<h3>Calculation:</h3>

Given that,

A tour company charges a given price per ticket based on the number 'n' of people who take the tour.

The maximum number of people who are allowed to take the tour is 35. I.e., n ≤ 35.

The price per ticket is $20 for n < 10 people and the price per ticket is given by the expression 20-(n-10)/2 for n > 10 people.

Harper goes on a tour where the ticket price is $10.50.

Since the price is less than $20, so the number of people who went on this tour is known by the expression 20-(n-10)/2 for n > 10 people.

So, solving the given expression:

20-(n-10)/2 = $10.50

-(n-10)/2 = 10.50 - 20

-(n-10)/2 = -9.5

(n-10) = 9.5 × 2

n -10 = 19

∴ n = 19 + 10 = 29

Therefore, 29 people went on this tour for a ticket price of $10.50.

Learn more about solving an expression here:

brainly.com/question/723406

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Which equations and/or functions represent the graphed line? Select three options.
Zarrin [17]

Answer:

f(x) = 0.5x + 2

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Step-by-step explanation:

In the figure attached, the graphed line is shown.

The missing options are:

<em>f(x) = 0.2x - 4 </em>

<em>f(x) = 0.5x + 2  </em>

<em> f(x) = 1/2x + 2 </em>

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The y-intercept is (0, 2), or b = 2

Therefore, in the slope y-intercept form, the equation is:

f(x) = mx + b

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In the point-slope form, the equations is:

y - y1 = m(x - x1)

y - 3 = 1/2(x - 2)

Using point (-2, 1), in the point-slope form, the equation is:

y - y1 = m(x - x1)

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